2. In the lecture we argued without proof that for a jet driven aircraft to maximise range in cruise the equivalent velocity has to be VEmr ≈1.3V Emd. Provide a detailed mathematical proof for this argument and the value for the ratio of VEmr/VEmd in 4 digits accuracy.

1 The following observations are recorded during a test on a four-stroke petro engine, F.C = 25cc of fuel in 10 sec, speed of the engine is 2600 rpm, B.P = 22 kW, Qair 0.00134 m, piston diameter 90 mm, density of the fuel = 0.85gm/cc , compression ratio = 7.5, CV of fuel = 42000KJ/Kg, room temperature = 24 °C %3D = 140mm, stroke length = %3D %3D %3D 2 A six-cylinder 4-stroke cycle petrol engine is to be designed to develop 250 kW of (b.p) at 2200 rpm the stroke / bore ratio is to be 1.3:1. Assuming nm =80% and an indicated mean effective pressure of 9.5 bar, determine the required bore and stroke. If the compression ratio of the engine is to be 7.5 to 1, determine consumption of petrol in kg/h and in kg/bp.hr. Take the ratio of the indicated thermal efficiency of the engine to that of the constant volume air standard cycle as 0.65 and the calorific value of the petrol as; 44770KJ/kg.

2- Diesel engine, six cylinders is tested at 4750 rpm, the pressure and temperature of the air entering the engine are 1.2bar, and 25 if the bore of cylinder is 80 mm and stroke 120 mm ,take air fuel ratio is 12:1, the specific fuel consumption is 0.52kg/kWh, and the brake power is equal 94 kW find the following: fuel consumption m'f = kg/ sec the air consumption engine capacity.: the flow rate of air intake to cylinder the Volumetric efficiency

volume flow rate requirement of 21it/s with an of 60К Pa. A system has a index run ΔΡ Find an appropriate pump from the manufacturer's catalogue gives the following information for a centrifugal pump operating at 24rev/s: kPaQ lit/s 98.76 0.5 95 1 88.76 1.5 80 68.38 2.5 55 38.76 3.5 Two geometrically similar pumps are running at the same speed of 1000r.p.m. One has an impeller di ameter of 0. 4m and discharge of 301/s against a head of 20m. If the other pump gives half of this discharge rate, determine the head, diameter and power of the second pump.

Problem Solving: IJA car is fraveling at the speed Vo on a Tevel road. After the brakes ote applied at t = 0, the motion con be approximated by x = where x is the distance traveled in mcters and t is the time in seconds. Find: (a) Find the value of Vo straight, %3D %3D 100

A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles. Assume a deviation of 10° applied to β2 due to circulation after the modern theory. The flow is 30 lit/s. After drawing/illustrating the velocity diagram, find the theoretical head Ho, in meters, assuming radial flow at inlet, neglecting the deviation in inlet velocity diagram. calculate the water horsepower.

6:50 ull LTE Dynamics. Assignment 3. Preli... Dynamics. Assignment 3. Prelims 1. In the given figure below. Decide by calculation whether Car B will Over Take Car A after 2 minutes. Сar A V, = 70 km/hr 5 km Car B V- 180 km/hr

DONT USE SHIFT SOLVE SHOW COMPLETE SOLUTION THANK YOU

Using the performance curves below, For a prototype that is 10 times larger than the model and operates at a speed of 600 rpm, what head, discharge, and brake horsepower are to be expected at maximum efficiency? What is the efficiency of the prototype? 250 100 CH Efciency 200 80 1.00 Power input, kW 4 Eficiency,.n 150 0.75 CH 3 Head (A), m 100 0.50 2. 50 20 0.25 N= 2133.5 rpm H35.6 rps D 37.1 cm 0.05 0.10 0.15 0.20 0.25 004 008 0.12 0.16 Discharge, m'/s Head, m power, kW Efficiency, percent Ooga pue

The right answer should be F_lift= 105 kip and F_thrust= 415 kip. I tried many times with acceleration in horizontal but couldn’t get these correct numbers.